6TH GR. ALGEBRA

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EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.

  • 6TH GR. ALGEBRA -

    Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.

    2 - 3 = -1
    2 * 3 = 6
    2 / 3 = 2/3

    Are any of the results irrational? And are there any other rational numbers that yield different results?

    (I assume a formal proof is not requested).

  • 6TH GR. ALGEBRA -

    Can you think of any two numbers that, when subtracted, multiplied, or divided, yield a number that is not rational? For example, take the rational numbers 2 and 3.

    2 - 3 = -1
    2 * 3 = 6
    2 / 3 = 2/3

    Are any of the results irrational? And are there any other rational numbers that yield different results?

    yes this one 2 * 3 = 6

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